438145684704 has 720 divisors, whose sum is σ = 1632227490432. Its totient is φ = 112833616896.

The previous prime is 438145684699. The next prime is 438145684751. The reversal of 438145684704 is 407486541834.

438145684704 is a `hidden beast` number, since 4 + 3 + 8 + 1 + 4 + 568 + 4 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 131850787 + ... + 131854109.

Almost surely, 2^438145684704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438145684704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816113745216).

438145684704 is an abundant number, since it is smaller than the sum of its proper divisors (1194081805728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

438145684704 is a wasteful number, since it uses less digits than its factorization.

438145684704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3421 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 438145684704 in words is "four hundred thirty-eight billion, one hundred forty-five million, six hundred eighty-four thousand, seven hundred four".